About: Quotients of continuous convex functions on nonreflexive Banach spaces     Goto   Sponge   NotDistinct   Permalink

An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

AttributesValues
rdf:type
Description
  • On each nonreflexive Banach space X there exists a positive continuous convex function f such that 1/f is not a d.c. function (i.e., a difference of two continuous convex functions). This result together with known ones implies that X is reflexive if and only if each everywhere defined quotient of two continuous convex functions is a d.c. function. Our construction gives also a stronger version of Klee's result concerning renormings of nonreflexive spaces and non-norm-attaining functionals.
  • On each nonreflexive Banach space X there exists a positive continuous convex function f such that 1/f is not a d.c. function (i.e., a difference of two continuous convex functions). This result together with known ones implies that X is reflexive if and only if each everywhere defined quotient of two continuous convex functions is a d.c. function. Our construction gives also a stronger version of Klee's result concerning renormings of nonreflexive spaces and non-norm-attaining functionals. (en)
  • Na každém nereflexivním Banachově prostoru existuje kladná spojitá konvexní funkce f, pro kterou 1/f není rozdílem dvou spojitých konvexních funkcí. (cs)
Title
  • Quotients of continuous convex functions on nonreflexive Banach spaces
  • Quotients of continuous convex functions on nonreflexive Banach spaces (en)
  • Podíly spojitých konvexních funkcí na nereflexivních Banachových prostorech (cs)
skos:prefLabel
  • Quotients of continuous convex functions on nonreflexive Banach spaces
  • Quotients of continuous convex functions on nonreflexive Banach spaces (en)
  • Podíly spojitých konvexních funkcí na nereflexivních Banachových prostorech (cs)
skos:notation
  • RIV/00216208:11320/07:00004395!RIV08-MSM-11320___
http://linked.open.../vavai/riv/strany
  • 211;217
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/06/0018), P(GA201/06/0198), Z(MSM0021620839)
http://linked.open...iv/cisloPeriodika
  • 3
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 446223
http://linked.open...ai/riv/idVysledku
  • RIV/00216208:11320/07:00004395
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Quotients; continuous; convex; functions; nonreflexive; Banach; spaces (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • PL - Polská republika
http://linked.open...ontrolniKodProRIV
  • [02C4396E44B0]
http://linked.open...i/riv/nazevZdroje
  • Bulletin of the Polish Academy of Sciences - Mathematics
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 55
http://linked.open...iv/tvurceVysledku
  • Kalenda, Ondřej
  • Zajíček, Luděk
  • Holický, Petr
http://linked.open...n/vavai/riv/zamer
issn
  • 1732-8985
number of pages
http://localhost/t...ganizacniJednotka
  • 11320
Faceted Search & Find service v1.16.118 as of Jun 21 2024


Alternative Linked Data Documents: ODE     Content Formats:   [cxml] [csv]     RDF   [text] [turtle] [ld+json] [rdf+json] [rdf+xml]     ODATA   [atom+xml] [odata+json]     Microdata   [microdata+json] [html]    About   
This material is Open Knowledge   W3C Semantic Web Technology [RDF Data] Valid XHTML + RDFa
OpenLink Virtuoso version 07.20.3240 as of Jun 21 2024, on Linux (x86_64-pc-linux-gnu), Single-Server Edition (126 GB total memory, 38 GB memory in use)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2024 OpenLink Software